Pith Number

pith:NSUA42UD

pith:2012:NSUA42UDTSFL6TZF4CQNN3BIRY

not attested not anchored not stored refs pending

On the recurrence set of planar Markov Random Walks

Fran\c{c}oise P\`ene (LM), Lo\"ic Herv\'e (IRMAR)

arxiv:1203.0446 v1 · 2012-03-02 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NSUA42UDTSFL6TZF4CQNN3BIRY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:01:00.707041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ca80e6a839c8abf4f25e0a0d6ec288e1698487a3564815a8fb16f53af218857

Aliases

arxiv: 1203.0446 · arxiv_version: 1203.0446v1 · doi: 10.48550/arxiv.1203.0446 · pith_short_12: NSUA42UDTSFL · pith_short_16: NSUA42UDTSFL6TZF · pith_short_8: NSUA42UD

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/NSUA42UDTSFL6TZF4CQNN3BIRY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 6ca80e6a839c8abf4f25e0a0d6ec288e1698487a3564815a8fb16f53af218857

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfe4cb26ab30048738b084695ef9b2ea0580f78d427374b611a44b070ddcd3a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-02T12:48:38Z",
    "title_canon_sha256": "c456864ab84805339fdc6d313e003faf198087b1befe3892da7023c3fd108bd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0446",
    "kind": "arxiv",
    "version": 1
  }
}